Solve sqrt[3]{12/6*15/8-40/1050}

$$\sqrt[ 3 ] { \frac { 12 } { 6 } \times \frac { 15 } { 8 } - \frac { 40 } { 1050 } }$$

Evaluate

$$\frac{\sqrt[3]{1559}\times 420^{\frac{2}{3}}}{420}\approx 1.548337414$$

Solution Steps

Divide 12 by 6 to get 2.

$$\sqrt[3]{2\times \frac{15}{8}-\frac{40}{1050}}$$

Multiply 2 and \frac{15}{8} to get \frac{15}{4}.

$$\sqrt[3]{\frac{15}{4}-\frac{40}{1050}}$$

Reduce the fraction \frac{40}{1050} to lowest terms by extracting and canceling out 10.

$$\sqrt[3]{\frac{15}{4}-\frac{4}{105}}$$

Subtract \frac{4}{105} from \frac{15}{4} to get \frac{1559}{420}.

$$\sqrt[3]{\frac{1559}{420}}$$